Mathematical Modeling of Mass Change in Biosensor Quartz Crystal Microbalance Using Matlab

Authors: Azeez Abdullah Barzinjy^1&2 & Haidar Jalal Ismael¹ & Mohammed Abdullah Hamad¹ Samir Mustafa Hamad³ & Mudhaffer Mustafa Ameen^1
1Department of Physics, College of Education, Salahaddin University, Erbil, Iraq
²Department of Physics Education, Faculty of Education, Ishik University, Erbil, Iraq
³Department of Mathematics, Faculty of Science, Soran University, Soran, Erbil, Iraq

Abstract: The usage of quartz crystal resonators in different fields has developed remarkably. Even though the usage of a quartz crystal microbalance (QCM) dating back to fifties, the current attention is focusing on the liquid state applications. Broadly-based on Kanazawa’s paradigmatic treatment, this investigation confers an emulation model to the hypothesis of the loaded QCM utilizing dissimilar bulk films on its superficies and submerged in a solution.The correlation between the variation in sonorous frequency and the mass of particles adhesive on the surface of the QCM is the heart of the transferal procedure of genetic material from one organism to another in piezoelectric biosensors.Particularly, electrical characteristics, such as phase angle, admittance and the sonorous frequency of loaded and unloaded QCM, are imitated by Matlab program. This data-package calculates the admittance band of a fluctuating QCM layered with a superlative mass and that of a fluctuating QCM layered with a film of a specified solid to reach at a modification factor as a function of layer height. Accordingly, the loaded QCM can be utilized as a biosensor, and the modification to the Sauerbrey equation is not as much of ~3% for the polystyrene layer up to a height of ~15 μm. The simulation results are in excellent agreement with available experimental data.

Keywords: AT-Cut Quartz Crystals, QCM, Sauerbrey Equation, Mass Change, Matlab Program

doi: 10.23918/eajse.v3i2p204

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